Jaxon was paid $62 for 8 hours of work. What was his hourly wage?

The value of x in the equation 2y - 13 = -3y/5 is undefined and the value of y is 5

From the question, we have the following parameters that can be used in our computation:

2y-13=-3y/5

Express properly

So, we have

2y - 13 = -3y/5

The above equation do not have any variable named "x"

This means that the equation cannot be solved for x and as such we can say that the value of x in the equation is undefined

However, we can solve for y as follows

2y - 13 = -3y/5

Collect the like terms

2y + 3y/5 = 13

Evaluate the like terms

2 3/5 y = 13

Divide both sides by 2 3/5

y = 5

So, the value of y is 5

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Step-by-step explanation:

What is the equivalent improper fraction of the multiplicand in the given 7 1/7 x 4 1/5?

this answer is 7 1/7 x 4 1/5=30

The center camera and the two angled cameras cover a total of 60° + 60° + 60° = 180°.

The total angle covered by the three cameras is 180°. The center camera has a field of 60° and the other two cameras, which are angled 45° away from the center camera, each has a field of 60°.

Therefore, together, the center camera and the two angled cameras cover a total of 60° + 60° + 60° = 180°.

When two rays are united at a common point, an angle is created. The two rays are referred to as the arms of the angle, while the common point is referred to as the node or vertex. The symbol "°" stands for the angle. The Latin word "Angulus" is where the word "angle" originated.

Typically, an angle is measured with a protractor and expressed in degrees. Angles of 30°, 45°, 60°, 90°, and 180° are shown here. The many types of angles are determined by the angles' degrees values.

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Answer:

267/100

Step-by-step explanation:

Hope this helps! :)

Answer:

I would think 2 for my answer

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer:420

Step-by-step explanation x=90/0.375

Answer: A

Step-by-step explanation: Hi

Answer:

it is 85x and I'm only in middle school

The inequality p(3)⋅x(p(1),w(1)) > w(3) holds, demonstrating that x(p(3),w(3)) cannot be directly revealed preferred to x(p(1),w(1)).

To prove the inequality p(3)⋅x(p(1),w(1)) > w(3), we'll use the transitivity property of the Weak Axiom of Revealed Preference (WARP) and the given conditions.

Since x(p(1),w(1)) is directly or indirectly revealed preferred to x(p(3),w(3)), we know that p(1)⋅x(p(3),w(3)) ≤ w(1). This implies that the cost of x(p(3),w(3)) under the price vector p(1) is affordable within the budget w(1).

Now, let's consider the budget line (p(3),w(3)). We have the budget constraint p(3)⋅x(p(3),w(3)) ≤ w(3). Since the revealed preferred bundle under this budget line is x(p(3),w(3)), the cost of x(p(3),w(3)) under the price vector p(3) is affordable within the budget w(3).

Combining the two inequalities, we get p(3)⋅x(p(3),w(3)) ≤ w(3) and p(1)⋅x(p(3),w(3)) ≤ w(1). Multiplying the second inequality by p(3), we obtain p(3)⋅(p(1)⋅x(p(3),w(3))) ≤ p(3)⋅w(1).

Given that p(n)⋅x(p(n+1),w(n+1)) ≤ w(n) for n=1,2, and using the fact that p(3)⋅x(p(3),w(3)) ≤ w(3), we can rewrite the inequality as p(3)⋅(p(1)⋅x(p(3),w(3))) ≤ w(3).

Since p(3)⋅x(p(3),w(3)) ≤ w(3) and p(3)⋅(p(1)⋅x(p(3),w(3))) ≤ w(3), we can conclude that p(3)⋅x(p(1),w(1)) > w(3).

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It will take 32 days for all 24 gallons to leak out of the bucket at a rate of 3 gallons every 4 days.

If water is leaking out of a bucket at a rate of 3 gallons every 4 days, then the rate of leakage is 3/4 gallons per day.

Let x be the number of days it takes for all 24 gallons to leak out. To explain this situation, we can construct an equation.

24=3/4*x

To solve for x, we can cross-multiply.

24*4=3x

3x=96

x=96/3

x = 32

Therefore, it will take 32 days for all 24 gallons to leak out of the bucket at a rate of 3 gallons every 4 days.

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Okay, here we have this:

Considering the provided function, we are going to calculate the requested roots, so we obtain the following:

Finally we obtain that the roots of the function are x=8 and x=4.

The actual side lengths of Lafayette Square are 500ft by 800ft.

The map uses scale ratios to represent actual distance.

From the diagram (see attachment), we have:

length = 2.5 in

width = 4 in

The scale ratio is given as:

Scale: Actual = lin : 200 ft.

So, the actual length is:

length = 2.5 * 200 ft.

length = 500 ft.

And the actual width is:

width = 4 * 200 ft.

width = 800 ft.

Hence, the actual side lengths of Lafayette Square are 500ft by 800ft.

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The requried scale factor that trasform the circle S to circle T is SF = 1.56.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
From the graph,
The radius of circle S is 2 units While the radius of the circle T is 2.5 units,

Now,
The area of the circle S
S = 4π   [area of circle = πr² ]

The area of the circle T
S = 6.25π  

The scale factor that trasform the circle S to T is given by the ratio of the area of the circle T to Circle S, So
SF = 6.25π / 4π
SF = 1.56

Thus, the requried scale factor that trasform the circle S to circle T is SF = 1.56.

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In order to find the equation that has an output of 4 for an input of 16, let's use the value of x = 16 in each equation and calculate the value of y:

So the correct option is the fourth one: y = x - 12

Answer:

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet. There were twice as many small boxes shipped as large boxes shipped and the total volume of all boxes was 168 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

\underline{\text{Define Variables:}}

Define Variables:

​  

May choose any letters.

\text{Let }s=

Let s=

\,\,\text{the number of small boxes shipped}

the number of small boxes shipped

\text{Let }l=

Let l=

\,\,\text{the number of large boxes shipped}

the number of large boxes shipped

Each small box has a volume of 6 cubic feet, so the volume of ss small boxes would be 6s6s cubic feet. Each large box has a volume of 12 cubic feet, so the volume of ll large boxes would be 12l12l cubic feet. Therefore, the total volume 6s+12l6s+12l equals 168:168:

6s+12l=168

6s+12l=168

Since there were twice as many small boxes shipped as large boxes, there were more small boxes, so if we multiply 2 by the number of large boxes, we will get the number of small boxes, meaning ss equals 2l.2l.

let s = number of small boxes shipped

let l= number of large boxes shipped

6s+121 = 168

s=21

The number of small boxes shipped are 14 and the number of large boxes shipped are 7.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet.

Let the number of small boxes be x and the number of large boxes be y.

There were twice as many small boxes shipped as large boxes

So, x=2y ------(I)

The total volume of all boxes was 168 cubic feet.

6x+12y=168 ------(II)

Substitute equation (I) in equation (II), we get

6(2y)+12y=168

12y+12y=168

24y=168

y=7

Substitute y=7 in equation (I), we get

x=14

Therefore, the number of small boxes shipped are 14 and the number of large boxes shipped are 7.

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The pattern tells that the amount raised by Robert in 26th mile is $90.

What is a pattern?

A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern.

The amount of money raised by Robert for first mile = $5

The amount of money raised by Robert for second mile = $6

The amount of money raised by Robert for third mile = $7.2

The difference between amount raised in first and second mile = $1

The difference between amount raised in second and third mile = $1.2

Similarly, the difference between amount raised in third and fourth mile will be = $1.4

Similarly, the difference between amount raised in fourth and fifth mile will be = $1.8

Following this pattern the difference between 25th and 26th mile will be = (26 × 0.2) + 0.4 = $5.8

Now, the amount raised in 26th mile = 84.2 + 5.8 = 90

Therefore, the amount raised is $90.

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Answer:100 degrees

its 100

If the property of a sample of matter depends on the amount of matter present, it is an extensive property.

Extensive properties of a substance depend on the amount or size of the substance being measured. Examples of extensive properties include mass, volume, and heat capacity.Examples of extensive properties are weight, length, volume, size, surface area, and charge. The extensive property of a substance or material varies proportionally to its size or amount. The greater the quantity or size of the substance, the greater the extent of the substance's extensive property.Therefore, it can be said that if the property of a sample of matter depends on the amount of matter present, it is an extensive property.

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The speed of the aeroplane per hour during the journey is (d) 1550 km/hr.

The time the aeroplane would take to reach its destination if it starts on schedule is T.The distance from the starting point to its destination is D.The speed of the plane from the starting point to its destination is S.When the plane starts 1.5 hours late, it takes T + 1.5 hours to reach its destination at the scheduled time.The distance traveled by the plane under this circumstance is still D.

When the pilot increases the speed of the plane by 800 km/h, the time it takes to travel from the starting point to the destination is reduced by 1.5 hours. So, the time taken to travel the distance D is (T - 1.5) hours.The formula to find speed is distance divided by time.Using these values we can find the speed of the aeroplane.

Solving the equation,D/S = T... equation [1]D/S+800 = T - 1.5... equation [2]Substitute the value of T from equation [1] in equation [2], we get:D/S + 800 = D/(S + 800) - 1.5Solving the equation, we get:S2 - 400S - 3,20,000 = 0S = 1550 km/hr

Therefore, the speed of the aeroplane per hour during the journey is (d) 1550 km/hr.

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a) The formula to calculate the sample size required to estimate a population proportion for unknown values of the population proportion and margin of error at a certain level of confidence is given by:

$$n = \frac{z^2pq}{E^2}$$

Where, z is the z-score associated with the level of confidence, p is the estimated population proportion, q is 1-p, and E is the margin of error. According to the given problem, the margin of error E = 0.09 and the confidence level is 95%. Thus, the value of z corresponding to this level of confidence is 1.96 (approx.). We don't have any prior information about the population proportion, therefore, we can take the maximum possible value for p, which is 0.5, because it makes the sample size maximum (due to maximum variance) and the margin of error maximum (due to minimum standard error).

Therefore,

p = 0.5 and q = 1 - p = 0.5.

Substituting these values in the formula for sample size, we get:

$$n = \frac{1.96^2 \times 0.5 \times 0.5}{0.09^2} \approx. \boxed{96}$$

Therefore, approximately 96 elementary school children need to be selected to estimate the proportion p who have received a medical examination during the past year with a margin of error of 0.09 and 95% confidence.

b) If prior information about the population proportion is available, the sample size can be determined using the formula:

$$n = \frac{z^2p'q'}{E^2}$$

Where,

p' is the estimated value of the population proportion obtained from prior information. In this case, p' = 0.9, and q' = 1 - p' = 0.1. All other values are the same as in part

(a).Substituting these values in the formula, we get:$$n = \frac{1.96^2 \times 0.9 \times 0.1}{0.09^2} \approx. \boxed{59}$$

Therefore, approximately 59 elementary school children need to be selected to estimate the proportion p who have received a medical examination during the past year with a margin of error of 0.09 and 95% confidence, assuming prior information about the population proportion is available.

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Answer:

\(y^{-2}\)

Step-by-step explanation:

there is a rule that says

\((x^a)^b=x^{ab}\)

so in our case

\((y^{\frac{-1}{2} })^4=y^{\frac{-4}{2} }=y^{-2}\)

so that's our answer

\(y^{-2}\)

Answer:

y^-2 or 1/y²

Step-by-step explanation:

y^-1/2 * 4

y^-4/2

y^-2

The population variance of the given data set is 6.89. Population Variance is 6.89

To calculate the population variance, we need to follow these steps:

Calculate the mean (average) of the data set.

Subtract the mean from each data point and square the result.

Calculate the mean of the squared differences.

This mean is the population variance.

Given the data set: 2.5, 6, 4, 1, 8.5, 2

Step 1: Calculate the mean:

Mean = (2.5 + 6 + 4 + 1 + 8.5 + 2) / 6 = 4

Step 2: Subtract the mean from each data point and square the result:

(2.5 - 4)^2 = 2.25

(6 - 4)^2 = 4

(4 - 4)^2 = 0

(1 - 4)^2 = 9

(8.5 - 4)^2 = 22.09

(2 - 4)^2 = 4

Step 3: Calculate the mean of the squared differences:

Mean = (2.25 + 4 + 0 + 9 + 22.09 + 4) / 6 = 41.34 / 6 = 6.89

Step 4: The population variance is equal to the mean calculated in Step 3:

Population Variance = 6.89

Therefore, the population variance of the given data set is 6.89.

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Answer:

It's bc

Step-by-step explanation:

Answer: 16870

Step-by-step explanation:

The money that should be invested to the nearest ten dollars, would be in the account after 13 years is $16,870.

Since the invested amount is $8,400

The rate of interest is 5.4%

In quartely it should be \(= 5.4\% \div 4\) = 1.35%

The time period is \(= 13 \times 4\) = 52

So, here the future value be like

\(= \$8,400 \times (1 + 1.35\%)^{52}\)

= $16,870

Hence, The money that should be invested to the nearest ten dollars, would be in the account after 13 years is $16,870.

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Answer:

Sam needs 24 pieces, he will have about 91/100 of a piece of wood left.

Theresa needs 47 pieces, she will have about 82/100 of a piece of wood left.

Step-by-step explanation:

254/11=23.09

254*2=508

508/11=46.18

The matrices A = [-2 3] and B =[-4 0] then, A+B = [-6 3]

How does matrix addition work?

A = [-2 3] ; B =[-4 0]

A+B = [ -2+(-4)  3+0]

= [-6 3]

Hence, The matrices A = [-2 3] and B =[-4 0] then, A+B = [-6 3]

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Answer:

\( \dfrac{21}{24} \)

Step-by-step explanation:

If you take a fraction, and you multiply or divide both the numerator and denominator by the same number, you get an equivalent fraction.

You have the fraction 7/8.

You are asked to come up with an equivalent fraction with denominator 24.

You must multiply the numerator and denominator of 7/8 by the same number, so that the denominator becomes 24.

What do you multiply 8 by to get 24?

24/8 = 3

If you multiply 8 by 3, you get 24.

Then you must also multiply the numerator by 3.

\( \dfrac{7}{8} = \dfrac{7 \times 3}{8 \times 3} = \dfrac{21}{24} \)

Answer:

\( \dfrac{21}{24} \)

discriminant = b * 2 - 4 * a * c   the formula for computing the discriminant .

What is quadratic equation?

quadratic equation ax^2 }+ bx+  c = 0

a = 3 b = 4 c = 5  discriminant = b * 2 - 4 * a * c  print("discriminant is", discriminant)

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The smallest positive integer value of n that is a multiple of 324 is 324 itself.

To find the smallest positive integer value of n that is a multiple of 324, we need to consider the prime factorization of 324.

The prime factorization of 324 is 2^2 * 3^4.

We can see that the exponent of 2 in the prime factorization of 324 is 2, and the exponent of 3 is 4. To make n a multiple of 324, we need to ensure that the prime factorization of n includes at least 2^2 * 3^4.

Therefore, the smallest positive integer value of n that is a multiple of 324 can be obtained by multiplying 2^2 * 3^4 by the smallest possible values of other prime factors (if any). Since no other prime factors are mentioned, we only need to consider the prime factors 2 and 3.

So, the smallest positive integer value of n that is a multiple of 324 is:

n = 2^2 * 3^4 = 4 * 81 = 324

Thus, the smallest positive integer value of n that is a multiple of 324 is 324 itself.

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